Before you start!

Did you take the Module 4, polynomial regression quiz?!! I hope you did. You should also be almost done with the project (Module 5). This is the last module of the course, and the last chapter of the electronic book. By now you should now have solid understanding of simple linear-, multiple linear- and polynomial regression. There is much more material relating to regression beyond what was discussed in the course, like non-linear models (where independent or predictor variables, or parameters, are the exponents or form ratios or products, etc., such that those models cannot be transformed to linear regression models), exponential regression, logistic regression, qualitative variables, diagnostic and remedial measures, techniques for parameter estimation (ridge regression estimation, maximum likelihood estimation,...)...

Note:You have seen and used Analysis of Variance already!! Recall the ANOVA summary tables as part of regression model testing. There, we were trying to determine whether variability in the data was due to the relationship between variables (regression) or due to randomness in the data.

The Electronic Textbook (by StatSoft) is again a good starting point. It has lots of material available for your reading and review, beyond what is covered in this entire course. From that book, please read through the following chapters and sections:

Please start in the Glossary and look for ANOVA and then Categorical predictor variables

Then review some selected sections of general background and concepts in the chapter

General Linear Models (GLM)

• Types of analyses
  • Between-subject designs
    • Overview
    • One-way ANOVA
    • Main effect ANOVA
    • Balanced ANOVA
  • Within-subject designs
    • Overview
    • One-way within-subject design

Next, read selected sections in the chapter

ANOVA/MANOVA

• Basic ideas
  • The partitioning of sum of squares
  • Multi-factor ANOVA
  • Interaction Effects

Read also the following selected sections in the chapter

Variance Components and Mixed Model ANOVA/ANCOVA
• Basic ideas
  • Properties of random effects
  • Properties of variance components
  • Fixed effects in ANOVA
  • Random effects in ANOVA

Also, please remember to turn to the book's very extensive Glossary when you need a short more technical overview of a topic or concepts, or are looking for a definition, and turn to the Statistical Tables if you need to check critical values.